Jean-Michel Dion
University of Grenoble
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Featured researches published by Jean-Michel Dion.
Automatica | 2003
Jean-Michel Dion; Christian Commault; Jacob van der Woude
In this survey paper, we consider linear structured systems in state space form, where a linear system is structured when each entry of its matrices, like A,B,C and D, is either a fixed zero or a free parameter. The location of the fixed zeros in these matrices constitutes the structure of the system. Indeed a lot of man-made physical systems which admit a linear model are structured. A structured system is representative of a class of linear systems in the usual sense. It is of interest to investigate properties of structured systems which are true for almost any value of the free parameters, therefore also called generic properties. Interestingly, a lot of classical properties of linear systems can be studied in terms of genericity. Moreover, these generic properties can, in general, be checked by means of directed graphs that can be associated to a structured system in a natural way. We review here a number of results concerning generic properties of structured systems expressed in graph theoretic terms. By properties we mean here system-specific properties like controllability, the finite and infinite zero structure, and so on, as well as, solvability issues of certain classical control problems like disturbance rejection, input-output decoupling, and so on. In this paper, we do not try to be exhaustive but instead, by a selection of results, we would like to motivate the reader to appreciate what we consider as a wonderful modelling and analysis tool. We emphasize the fact that this modelling technique allows us to get a number of important results based on poor information on the system only. Moreover, the graph theoretic conditions are intuitive and are easy to check by hand for small systems and by means of well-known polynomially bounded combinatorial techniques for larger systems.
IEEE Transactions on Automatic Control | 1998
S.-I. Niculescu; C.E. de Souza; Luc Dugard; Jean-Michel Dion
Focuses on the problem of robust exponential stability of a class of uncertain systems described by functional differential equations with time-varying delays. The uncertainties are assumed to be continuous time-varying, nonlinear, and norm bounded. Sufficient conditions for robust exponential stability are given for both single and multiple delays cases.
Automatica | 2003
Dan Ivnescu; Silviu-Iulian Niculescu; Luc Dugard; Jean-Michel Dion; Erik I. Verriest
This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems. Sufficient conditions for delay-dependent stability are given in terms of the existence of solutions of some linear matrix inequalities. Furthermore, the proposed technique extends to neutral systems the results obtained for delay-difference equations using model transformations. Illustrative examples are included.
IEEE Transactions on Automatic Control | 2002
Christian Commault; Jean-Michel Dion; Olivier Sename; Reza Motyeian
Fault detection and isolation (FDI) problems are here consid- ered for linear systems with faults and disturbances. We design a set of ob- server-based residuals in such a way that the transfer from the disturbances to the residuals is zero, and the transfer from the faults to the residuals al- lows fault isolation. We are interested in obtaining a transfer function from faults to residuals with either a diagonal structure (i.e., a dedicated struc- tured residuals set) or a triangular one. We deal with this problem when the system under consideration is structured. That is, the entries of the system matrices are either fixed zeros or free parameters. To a structured system, one can associate in a natural way a directed graph. We can then provide necessary and sufficient conditions under which the FDI problems have a solution for almost any value of the free parameters. These conditions are simply expressed in terms of input-output paths in the associated graph. Index Terms—Fault detection and isolation, graph theory, model-based approach, structured residuals, structured systems.
International Journal of Control | 1986
Christian Commault; J. Descusse; Jean-Michel Dion; J. F. Lafay; Michel Malabre
The aim of this paper is to introduce a new list of integers which is invariant under the action of biproper compensation and which plays a key role in the solution of the row-by-row decoupling problem. Several equivalent characterizations are provided within both the geometric and the transfer matrix approaches.
Siam Journal on Control and Optimization | 1988
Jean-Michel Dion; Christian Commault
In this paper we solve the minimal delay decoupling problem of linear multivariable systems. We look for feedback implementable solutions which moreover guarantee closed loop stability. We prove that dynamic state feedback decoupling with stability is achievable if the number of independent inputs is large enough to compensate the intrinsic “nondecouplability” of the system. We introduce new feedback invariants characterizing the minimal number of infinite and unstable zeros of the decoupled system.
IEEE Transactions on Automatic Control | 1993
Jean-Michel Dion; Christian Commault
The feedback decoupling of structured linear systems is considered. Using results gathered on decoupling and the graph characterization of the structure at infinity, a necessary and sufficient decoupling condition for structured systems is developed. This condition has a graphical interpretation in terms of shortest input-output paths. >
International Journal of Robust and Nonlinear Control | 2000
Dan Iv nescu; Jean-Michel Dion; Luc Dugard; S.-I. Niculescu
This paper presents simple and explicit formulae of an ‘observer-based H∞ controller’ for linear time-delay systems. Based on the LMI approach, we design a dynamical controller which guarantees the asymptotic stability of the closed-loop system and reduces the effect of the perturbation to a prescribed level. The main contribution of the paper is to provide closed-loop stability analysis when the system time delay is unknown. We give delay-dependent and delay-independent stability results. The proposed method is illustrated by examples. The paper completes the work of the same authors. Copyright
IEEE Transactions on Automatic Control | 2007
Christian Commault; Jean-Michel Dion
We consider here the fault detection and isolation (FDI) problem for linear systems. We are interested in designing a set of observer-based residuals, in such a way that the transfer from the faults to the residuals is diagonal and the transfer from the disturbances to the residuals is zero. We deal with this problem when the system under consideration is structured, that is, the entries of the system matrices are either fixed zeros or free parameters. This problem can be solved in terms of the graph that can be associated in a natural way with a structured system. When the FDI solvability conditions are not satisfied, we assume that internal variables can be measured at a cost and look into the question of wether the problem is solvable with these new measurements. We give solvability conditions for a solution with a minimal number of additional sensors and among such solutions provide a minimal cost solution for the sensor location problem under consideration. We pay particular attention to the internal analysis of the system, and we propose a structural decomposition of the system associated graph based on some particular separators. This analysis leads to the definition of a reduced system. We prove that some potential additional sensors are inefficient for solving our FDI problem and that the FDI problem can be solved using only measurements on the reduced system
Automatica | 2013
Christian Commault; Jean-Michel Dion
In this paper, we consider dynamical graph-based models, which are well fitted for the structural analysis of complex systems. A significant amount of work has been devoted to the controllability of such graph based models, e.g. recently for multi-agent systems or complex networks. We study here the controllability through input addition in this framework. We present several variants of this problem depending on the freedom which is left to the designer on the additional inputs. We use a unified framework, which allows us to encompass the different applications and representations (large scale systems, complex communications networks, multi-agent systems, ...) and provide convenient graph tools for their analysis. Our contribution is to characterize the structural modifications of the system resulting from an input addition (or a leader selection) and of the mechanisms which lead to controllability. We provide information on the possible location of additional inputs and on the minimal number of inputs to be added for controllability.